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Carbon allotropes.

Diamond and pencil lead are both pure carbon. Rearrange the same atoms and you get the hardest natural material, a slippery solid or a molecular football.

Explore the scene Interactive article

01 / The experiment

Same atoms. Different arrangement.

Choose a form of carbon, slide its top layers, then look inside to see how the carbons are joined.

Still of the Carbon allotropes 3D scene, which explores: How can a diamond and a pencil be made of exactly the same thing?
Interactive scene

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The explanation below is available while the scene loads.

Bond lengths and spacings are the measured ones, drawn at one scale for every form; C₆₀ is one molecule about 0.7 nm across.Atoms are drawn smaller than their true size so the bonds show. The real material shapes are simplified, and in a real crystal a snapped bond stays snapped.

02 / Three forms

One element, three solids.

Only the way the carbon atoms are joined changes.

Gems and drill bits

Diamond

Every carbon holds four neighbours at the corners of a tetrahedron. The bonds run in every direction, so there is no easy way to bend or split it.

Bonds
4, in three dimensions
Hardness
Mohs 10, the hardest natural material
Conducts
No (but carries heat well)
Density
3.51 g/cm³
Pencil lead

Graphite

Flat sheets of hexagons stacked loosely 0.335 nm apart. They slide off onto paper as you write. One sheet on its own is graphene.

Bonds
3, in flat sheets
Hardness
Mohs 1 to 2, slippery
Conducts
Yes, along the sheets
Density
2.26 g/cm³
Buckminsterfullerene

C₆₀

Sixty carbons on the corners of 12 pentagons and 20 hexagons. Each cage is a separate molecule, so the solid is a pile of tiny balls.

Bonds
3, around a closed cage
Hardness
Soft: molecules stacked like balls
Conducts
Poorly (a semiconductor)
Density
1.65 g/cm³
The big idea

The same carbon atoms make diamond when every atom bonds in all directions, graphite when they bond in flat sheets, and C₆₀ when a sheet closes into a cage. Arrangement, not ingredients, sets the properties.

C

One element, many materials

A diamond ring and the “lead” in a pencil are made of the same element. Pencil lead is graphite (mixed with clay), and both graphite and diamond are pure carbon. One is the hardest natural material, clear and sparkling; the other is soft, grey and leaves marks on paper. Forms of one element with different structures are called allotropes. For carbon the difference is not in the atoms at all, only in how they are joined.

Diamond: a rigid network

In diamond every carbon atom is bonded to four others, 0.154 nanometres away, at the corners of a tetrahedron. Each of those is bonded to four more, in every direction, so the whole crystal is one continuous web of strong bonds. There is no direction in which it is easy to bend or split, which makes diamond the hardest natural material, 10 on the Mohs scale. Every outer electron is locked into a bond, so diamond does not conduct electricity, although it carries heat better than copper. It is also dense: 3.51 grams per cubic centimetre.

Graphite: sheets that slide

In graphite each carbon is bonded to only three neighbours, 0.142 nanometres away, in flat sheets of hexagons like chicken wire. The sheets stack 0.335 nanometres apart, more than twice the bond length, held only by the weak attraction between neighbouring sheets. They slide over each other easily, so graphite feels slippery and rubs off onto paper as you write. Each carbon’s fourth electron is shared across its whole sheet, so graphite conducts electricity along the sheets. At everyday pressure graphite, not diamond, is carbon’s most stable form, but turning diamond into graphite is so slow that diamonds last.

Try it: choose Graphite and push Slide the top layers up to 1 step, then try Diamond. Choose Atoms under Zoom to the atoms to see the sheets glide while diamond’s bonds stretch and break.

Back to the experiment

Graphene: one sheet

Peel graphite down to a single sheet and you have graphene, a layer one atom thick. Andre Geim and Konstantin Novoselov first isolated it in 2004, famously by peeling graphite with sticky tape, and shared the 2010 Nobel Prize in Physics. A single sheet absorbs only about 2.3% of the light passing through it, yet it is among the strongest materials ever measured and conducts electricity extremely well.

C₆₀: a molecular football

In 1985 Harold Kroto, Robert Curl and Richard Smalley found that vaporised carbon forms stable clusters of exactly 60 atoms. The atoms sit on the corners of 12 pentagons and 20 hexagons, the pattern of a football, in a closed cage about 0.7 nanometres across. They named it buckminsterfullerene, after the architect of geodesic domes, and shared the 1996 Nobel Prize in Chemistry. The bonds shared by two hexagons are slightly shorter than those beside a pentagon, about 0.140 against 0.145 nanometres.

What this model leaves out

The materials you see before zooming in are idealised: a diamond octahedron, a stack of graphite flakes, a graphene sheet and a dark crystal of C₆₀. Real graphite and graphene ripple and contain defects, and the sliding shown here moves whole halves at once. Other allotropes, such as nanotubes and amorphous soot, are not shown.

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04 / Learn this in a course

Practise it, step by step.

This lesson teaches the topic with checked questions.

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